Ask
your own question, for FREE!

Mathematics

OpenStudy (anonymous):

f(x)=x^2. g(x)=x-3 a. Find gf(x) b. Fing g^-1 (x) c. Solve the equation gf(x)= g^-1 (x)

Still Need Help?

Join the QuestionCove community and study together with friends!

OpenStudy (anonymous):

PLEEEEAAAAAAAAAASEEEEEEEE HELP!!!!!!!!!!!!!

OpenStudy (anonymous):

does this mean \[f\circ g(x)\]?

OpenStudy (anonymous):

i.e. \[f(g(x))\]

OpenStudy (anonymous):

oops sorry it is \[g(f(x))\] ok first step replace the generic f by the specific one, get \[g(x^2)\] then evaluate g at x^2 get \[g(x^2)=x^2-3\]

OpenStudy (anonymous):

\[g(x)=x-3\] says to subtract 3, so \[g^{-1}(x)=x+3\] says to add 3. does the opposite action

Still Need Help?

Join the QuestionCove community and study together with friends!

OpenStudy (anonymous):

and finally \[g(f(x))=g^{-1}(x)\] means \[x^2-3=x+3\] making \[x^2-x-6=0\] \[(x+2)(x-3)=0\] \[x=-2,x=3\]

Can't find your answer?
Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!

Join our real-time social learning platform and learn together with your friends!

Latest Questions

HeartTricker:
Since losing his house to foreclosure last year, all Abe can think about is how he should have done things differently.

38 minutes ago
0 Replies
0 Medals

HeartTricker:
say whether you think the person is suffering from complicated grief or depression and why you think that: Ever since her partner died two years ago, Charlo

1 hour ago
4 Replies
1 Medal

smolgaybean06:
okay- could someone help me with this, please? https://docs.google.com/document/d

1 hour ago
7 Replies
2 Medals

HeartTricker:
"Sorry your wife died, but I guess you knew that was coming. She was old anyway."

1 hour ago
2 Replies
1 Medal

HeartTricker:
"Be strong. Never let them see you cry." Alternative statement:

2 hours ago
2 Replies
1 Medal

HeartTricker:
"Joseph's dad died last month, and he has gotten over it. Why can you not?" Alter

2 hours ago
1 Reply
1 Medal

HeartTricker:
"Have you not you gotten over it?" Alternative statement:

2 hours ago
5 Replies
2 Medals

Gucchi:
Allen deposits $2,000 in his local bank. He earns 2 percent interest each year on his deposit.

3 hours ago
3 Replies
0 Medals